120133301011020 has 144 divisors (see below), whose sum is σ = 397570420709280. Its totient is φ = 29120410828800.

The previous prime is 120133301010977. The next prime is 120133301011037. The reversal of 120133301011020 is 20110103331021.

120133301011020 is a `hidden beast` number, since 1 + 201 + 3 + 330 + 1 + 0 + 110 + 20 = 666.

It is a super-2 number, since 2×120133301011020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120133301010984 and 120133301011002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17604910 + ... + 23456330.

It is an arithmetic number, because the mean of its divisors is an integer number (2760905699370).

Almost surely, 2^{120133301011020} is an apocalyptic number.

120133301011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120133301011020 is an abundant number, since it is smaller than the sum of its proper divisors (277437119698260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120133301011020 is a wasteful number, since it uses less digits than its factorization.

120133301011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861816 (or 5861811 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120133301011020 its reverse (20110103331021), we get a palindrome (140243404342041).

The spelling of 120133301011020 in words is "one hundred twenty trillion, one hundred thirty-three billion, three hundred one million, eleven thousand, twenty".